Oy, not this again. I agree that could be written better, but it's not all that different from Heroku: "...you give Heroku a worldwide, royalty-free, and non-exclusive license to reproduce, adapt, modify, translate, publish, publicly perform, publicly display and distribute such Application for the sole purpose of enabling Heroku to provide you with the Heroku Services."
It's not a question of trust, necessarily. The Heroku TOS uses your IP to provide and serve your app. The Redhat TOS allows them to use your app (without further notice or consent) and your logo, name, and trademarks in their advertising of the service. While in many instances, that's not a bad thing, not everyone wants publicity for a test/private/pre-release app they test on the Openshift service.
